31363118640 has 240 divisors, whose sum is σ = 121617507648. Its totient is φ = 7094697984.

The previous prime is 31363118639. The next prime is 31363118651. The reversal of 31363118640 is 4681136313.

31363118640 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 3 + 1 + 1 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31363118595 and 31363118604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456804 + ... + 520956.

Almost surely, 2^31363118640 is an apocalyptic number.

31363118640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31363118640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60808753824).

31363118640 is an abundant number, since it is smaller than the sum of its proper divisors (90254389008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31363118640 is a wasteful number, since it uses less digits than its factorization.

31363118640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64276 (or 64267 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 31363118640 in words is "thirty-one billion, three hundred sixty-three million, one hundred eighteen thousand, six hundred forty".